Sharp EL-9600 manual Linear Transformation, Symmetric transformation to x-axis Case XY = 10 -01 XY

EL-9600 Graphing Calculator

Linear Transformation

Use the matrix to find four types of the linear transformation of x-axis symmetric transformation, y-axis symmetric transformation, similar transformation and revolution around the origin.

Calculation

1.Symmetric transformation to x-axis (Case 1)

(X'Y') = (10 -01 ) ( XY )

2.Symmetric transformation to y-axis (Case 2)

(X'Y') = (-01 10 ) ( XY )

3.Similar transformation with ratio of similitude K around origin (Case 3)

(X'Y') = (K0 K0 ) ( XY )

4.Transformation revolving around only angle B at the origin (Case 4)

X'	cos B	-sin B X
(Y') = (sin B		cos B ) ( Y )

FLOWCHART	PROGRAMME LIST
	(MATRIX MODE)

Start

Array declaration

Entry of coordinates (X,Y)

TYPE

Entry of type

s = 1		Y	To label XSYMMETRY
	N	Y
s = 2			To label YSYMMETRY
	N	Y
s = 3			To label SYMRATIO
	N	Y
s = 4				To label ROTATE
	N
Label XSYMMETRY				Label YSYMMETRY
Transformation data set				Transformation data set
Label SIMRATIO				Label ROTATE
Entry of ratio of similitude				Entry of angle
Data set of transformation				Data set of transformation

Coordinate transformation

Display of coordinates after transformation

End

Declare array size, etc. matH(2,2), matD(2,1), matA(2,1)

Enter coordinates before transformation.

Type of transformation specified with no from 1 to 4.

Jumps to destination corresponding to entered number.

XSYMMETRY

Data set of x-axis symmetric transformation matH(1,1) = 1, matH(1,2) = 0, matH(2,1) = 0, matH(2,2) = -1

YSYMMETRY

Data set of y-axis symmetric transformation matH(1,1) = -1, matH(1,2) = 0, matH(2,1) = 0, matH(2,2) = 1

SIMRATIO

Data set of similar transformation Entry of ratio of similitude (R)

matH(1,1) = K, matH(1,2) = 0, matH(2,1) = 0, matH(2,2) = θ

Data set of transformation by revolving Entry of angle (A)

matH(1,1) = cos B, matH(2,1) = sin B, matH(1,2) = -sin B, matH(2,2) = cos B,

Matrix H multiplied by matrix D.

Coordinates displayed.

Title : LINE TRNS

{2, 2} dim(mat H) {2, 1} dim(mat D) {2, 1} dim(mat A) Print "Input POINT Input X

Input Y

Xmat D(1, 1)

Ymat D(2, 1) Label TYPE

Print "SELECT 1/2/3/4 Input S

ClrT

If S=1 Goto XSYMMETRY If S=2 Goto YSYMMETRY If S=3 Goto SIMRATIO

If S=4 Goto ROTATE GotoTYPE

Label XSYMMETRY 1 mat H(1, 1)

0 mat H(2, 1)

0 mat H(1, 2) -1 mat H(2, 2) Goto TRANS Label YSYMMETRY -1 mat H(1, 1)

0 mat H(2, 1)

0 mat H(1, 2)

1 mat H(2, 2) Goto TRANS Label SIMRATIO

Print "Input SIMILITUDE RATIO Input R

RK

Kmat H(1, 1)

0 mat H(2, 1)

0 mat H(1, 2) θ mat H(2, 2) Goto TRANS Label ROTATE Print "Input ANGLE Input A

AB

cos B mat H(1, 1) sin B mat H(2, 1) -sin B mat H(1, 2) cos B mat H(2, 2) Label TRANS

mat Hmat D mat A Print "mat A(1, 1) Print mat A(1, 1) Print "mat A(2, 1) Print mat A(2, 1)

End

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